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Finding the Fourth Proportional to 982.44, 1,475.37 and 847.44

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Solution

The fourth proportional to 982.44, 1,475.37 and 847.44 is: 1,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 1,475.37 = 847.44 : x
  2. Step 2: Convert to fraction form
    982.44/1,475.37 = 847.44/x
  3. Step 3: Cross multiply
    982.44x = 1,475.37 × 847.44
  4. Step 4: Simplify right side
    982.44x = 1,250,287.55
  5. Step 5: Solve for x
    x = 1,250,287.55/982.44
  6. Step 6: Final answer
    x = 1,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.